Chapter 10: Problem 29
On the basis of diffusion considerations, explain why fine pearlite forms for the moderate cooling of austenite through the eutectoid temperature, whereas coarse pearlite is the product for relatively slow cooling rates.
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Chapter 10: Problem 29
On the basis of diffusion considerations, explain why fine pearlite forms for the moderate cooling of austenite through the eutectoid temperature, whereas coarse pearlite is the product for relatively slow cooling rates.
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Name the two stages involved in the formation of particles of a new phase. Briefly describe each.
For a eutectoid steel, describe isothermal heat treatments that would be required to yield specimens having the following Rockwell hardnesses: (a) \(93 \mathrm{HRB}\) (b) \(40 \mathrm{HRC}\) (c) \(27 \mathrm{HRC}\)
(a) For the solidification of iron, calculate the critical radius \(r^{*}\) and the activation free energy \(\Delta G^{*}\) if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are \(-1.85 \times 10^{9} \mathrm{~J} / \mathrm{m}^{3}\) and \(0.204\) \(\mathrm{J} / \mathrm{m}^{2}\), respectively. Use the supercooling value found in Table \(10.1\). (b) Now calculate the number of atoms found in a nucleus of critical size. Assume a lattice parameter of \(0.292 \mathrm{~nm}\) for solid iron at its melting temperature.
Name the microstructural products of 4340 alloy steel specimens that are first completely transformed to austenite, then cooled to room temperature at the following rates: (a) \(10^{\circ} \mathrm{C} / \mathrm{s}\) (b) \(1^{\circ} \mathrm{C} / \mathrm{s}\) (c) \(0.1^{\circ} \mathrm{C} / \mathrm{s}\) (d) \(0.01^{\circ} \mathrm{C} / \mathrm{s}\)
(a) Rewrite the expression for the total free energy change for nucleation (Equation 10.1) for the case of a cubic nucleus of edge length \(a\) (instead of a sphere of radius \(r\) ). Now differentiate this expression with respect to \(a\) (per Equation 10.2) and solve for both the critical cube edge length, \(a^{*}\), and also \(\Delta G^{*}\). (b) Is \(\Delta G^{*}\) greater for a cube or a sphere? Why?
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